Skip to main content
Log in

Multi-parton cross sections at hadron colliders

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We present an alternative method to calculate cross sections for multi-parton scattering processes in the standard model at leading order. The helicity amplitudes are computed using recursion relations in the number of particles, based on the Dyson–Schwinger equations, whereas the summation over colour and helicity configurations is performed by Monte Carlo methods. The computational cost of our algorithm grows asymptotically as 3n, where n is the number of particles involved in the process, as opposed to the n!-growth of the Feynman diagram approach. Typical results for the total cross section, the differential distributions of the invariant masses and the transverse momenta of the partons are presented and cross checked by explicit summation over colours.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M.A. Dobbs et al., hep-ph/0403045

  2. F. Maltoni, T. Stelzer, JHEP 02, 027 (2003) [hep-ph/0208156]

    Article  ADS  Google Scholar 

  3. F. Krauss, R. Kuhn, G. Soff, JHEP 02, 044 (2002) [hep-ph/0109036]

    Article  ADS  Google Scholar 

  4. M.L. Mangano, M. Moretti, F. Piccinini, R. Pittau, A.D. Polosa, JHEP 07, 001 (2003) [hep-ph/0206293]

    Article  ADS  Google Scholar 

  5. M.L. Mangano, S.J. Parke, Phys. Rep. 200, 301 (1991)

    Article  ADS  Google Scholar 

  6. F.A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans, T.T. Wu, Phys. Lett. B 103, 124 (1981)

    Article  ADS  Google Scholar 

  7. S.J. Parke, T.R. Taylor, Phys. Lett. B 157, 81 (1985)

    Article  ADS  Google Scholar 

  8. S.J. Parke, T.R. Taylor, Nucl. Phys. B 269, 410 (1986)

    Article  ADS  Google Scholar 

  9. Z. Kunszt, Nucl. Phys. B 271, 333 (1986)

    ADS  Google Scholar 

  10. F.A. Berends, W. Giele, Nucl. Phys. B 294, 700 (1987)

    Article  ADS  Google Scholar 

  11. M.L. Mangano, S.J. Parke, Z. Xu, Nucl. Phys. B 298, 653 (1988)

    Article  ADS  Google Scholar 

  12. S.J. Parke, T.R. Taylor, Phys. Rev. Lett. 56, 2459 (1986)

    Article  ADS  Google Scholar 

  13. F.A. Berends, W.T. Giele, Nucl. Phys. B 306, 759 (1988)

    Article  ADS  Google Scholar 

  14. M.X. Luo, C.K. Wen, JHEP 0503, 004 (2005) [hep-th/0501121]

    Article  ADS  MathSciNet  Google Scholar 

  15. R. Britto, B. Feng, R. Roiban, M. Spradlin, A. Volovich, Phys. Rev. D 71, 105017 (2005) [hep-th/0503198]

    Article  ADS  Google Scholar 

  16. R. Kleiss, W.J. Stirling, Nucl. Phys. B 262, 235 (1985)

    Article  ADS  Google Scholar 

  17. J.F. Gunion, Z. Kunszt, Phys. Lett. B 161, 333 (1985)

    Article  ADS  Google Scholar 

  18. Z. Xu, D.-H. Zhang, L. Chang, Nucl. Phys. B 291, 392 (1987)

    Article  ADS  Google Scholar 

  19. J.G.M. Kuijf, Ph.D. Thesis (University of Leiden, 1991) [RX-1335]

  20. W.T. Giele, Ph.D. Thesis, (University of Leiden, 1989) [RX-1267]

  21. F. Caravaglios, M. Moretti, Phys. Lett. B 358, 332 (1995) [hep-ph/9507237]

    Article  ADS  Google Scholar 

  22. F. Caravaglios, M.L. Mangano, M. Moretti, R. Pittau, Nucl. Phys. B 539, 215 (1999) [hep-ph/9807570]

    Article  ADS  Google Scholar 

  23. E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Nucl. Phys. B 391, 42 (1993)

    Article  ADS  Google Scholar 

  24. E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Nucl. Phys. B 391, 57 (1993)

    Article  ADS  Google Scholar 

  25. E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Nucl. Phys. B 395, 3 (1993) [arXiv:hep-ph/9211237]

    Article  ADS  Google Scholar 

  26. E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Phys. Lett. B 302, 70 (1993)

    Article  ADS  Google Scholar 

  27. E.N. Argyres, C.G. Papadopoulos, R.H.P. Kleiss, Phys. Lett. B 319, 544 (1993) [hep-ph/9212280] [Addendum]

    Article  Google Scholar 

  28. E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 308, 292 (1993)

    Article  ADS  Google Scholar 

  29. E.N. Argyres, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 319, 544 (1993) [hep-ph/9303321] [Addendum]

    Article  Google Scholar 

  30. E.N. Argyres, A.F.W. van Hameren, R.H.P. Kleiss, C.G. Papadopoulos, Eur. Phys. J. C 19, 567 (2001) [hep-ph/0101346]

    MATH  ADS  Google Scholar 

  31. P. Draggiotis, R.H.P. Kleiss, C.G. Papadopoulos, Phys. Lett. B 439, 157 (1998) [hep- ph/9807207]

    Article  ADS  Google Scholar 

  32. A. Kanaki, C.G. Papadopoulos, Comput. Phys. Commun. 132, 306 (2000) [hep-ph/0002082]

    Article  MATH  ADS  Google Scholar 

  33. A. Kanaki, C.G. Papadopoulos, in AIP Conf. Proc.. August 20, 2001. vol. 583, issue 1, pp. 169–172; in Workshop On Computer Particle Physics: (CPP 2001): Automatic Calculation for Future Colliders, ed. by Y. Kurihara, Tsukuba, Japan, KEK, 2002 (KEK-PROCEEDINGS-2002-11), pp. 20–25 [hep-ph/0012004]

  34. P.D. Draggiotis, R.H.P. Kleiss, C.G. Papadopoulos, Eur. Phys. J. C 24, 447 (2002) [hep-ph/0202201]

    Article  Google Scholar 

  35. G. ’t Hooft, Nucl. Phys. B 72, 461 (1974)

    Article  ADS  Google Scholar 

  36. F. Maltoni, K. Paul, T. Stelzer, S. Willenbrock, Phys. Rev. D 67, 014026 (2003) [hep-ph/0209271]

    Article  ADS  Google Scholar 

  37. P.D. Draggiotis, Ph.D. Thesis (University of Nijmegen, 2002)

  38. J. Pumplin et al., JHEP 07, 012 (2002) [hep-ph/0201195]

    Article  ADS  Google Scholar 

  39. D. Stump et al., JHEP 10, 046 (2003) [hep-ph/0303013]

    Article  ADS  Google Scholar 

  40. C.G. Papadopoulos, Comput. Phys. Commun. 137, 247 (2001) [hep-ph/0007335]

    Article  MATH  ADS  Google Scholar 

  41. R. Kleiss, R. Pittau, Comput. Phys. Commun. 83, 141 (1994) [hep-ph/9405257]

    Article  ADS  Google Scholar 

  42. A. van Hameren, C.G. Papadopoulos, Eur. Phys. J. C 25, 563 (2002) [hep-ph/0204055]

    MATH  ADS  Google Scholar 

  43. R. Kleiss, W.J. Stirling, S.D. Ellis, Comput. Phys. Commun. 40, 359 (1986)

    Article  ADS  Google Scholar 

  44. C.G. Papadopoulos, M. Worek, Nucl. Instrum. Methods A 559, 278 (2006) [hep-ph/0508291]

    Article  ADS  Google Scholar 

  45. C.G. Papadopoulos, M. Worek, Acta Phys. Pol. B 36, 3355 (2005) [hep-ph/0510416]

    ADS  Google Scholar 

  46. T. Sjostrand et al., Comput. Phys. Commun. 135, 238 (2001) [hep-ph/0010017]

    Article  ADS  Google Scholar 

  47. G. Corcella et al., JHEP 01, 010 (2001) [hep-ph/0011363]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Worek.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Papadopoulos, C., Worek, M. Multi-parton cross sections at hadron colliders. Eur. Phys. J. C 50, 843–856 (2007). https://doi.org/10.1140/epjc/s10052-007-0246-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-007-0246-2

Keywords

Navigation